Question

A factory purchases bolts in lots of 800. Acceptance is decided using a single-sampling plan with sample size n = 20 and acceptance number c = 3. Assume that 2% defective items are considered acceptable quality and 7% defective items are considered unacceptable quality.

Find:

(i) The probability of accepting a lot when the incoming quality level is 5% defective.

(ii) The Average Outgoing Quality (AOQ), assuming rejected lots are completely screened and defectives are replaced.

(iii) The Average Total Inspection (ATI).

24 Mar 2026
Answer :
Word Count : 474
We are given: * Lot size ( N = 800 ) * Sample size ( n = 20 ) * Acceptance number ( c = 3 ) * Acceptable quality ( p_a = 2% = 0.02 ) * Unacceptable quality ( p_u = 7% = 0.07 ) * Question asks for calculations at ( p = 5% = 0.05 ) We solve step by step manually. --- (i) Probability of accepting a lot when defective fraction is 5% The _________ __________ ____ ___ _____.
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